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Finding the Third Proportional to 49,240.13 and 108,013.50

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Solution

The third proportional to 49,240.13 and 108,013.50 is: 236,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,240.13 : 108,013.50 = 108,013.50 : x
  2. Step 2: Convert to fraction form
    49,240.13/108,013.50 = 108,013.50/x
  3. Step 3: Cross multiply
    49,240.13x = 108,013.50 × 108,013.50
  4. Step 4: Simplify right side
    49,240.13x = 11,666,916,182.25
  5. Step 5: Solve for x
    x = 11,666,916,182.25/49,240.13
  6. Step 6: Final answer
    x = 236,939.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.